4. How do you find out if three given points are in a straight line?
Sol. Area of triangle from these three line must be zero
5. Drive expression for gravitational force at a point inside the Earth
Assume an elementary concentric shell of mass dm. Due to this shell
The field at the point will be:
For there will be no gravitational field due to shell of radius greater than r, so gravitational field at the point will be present only due to shells having radius less than r.
Note: The gravitational field inside and outside the Earth is always in radial direction.
Q: 6. Why does Gauss’ Law consider charges only inside the imaginary closed surface, and not the ones outside?
Sol. Solid angle subtended by a point outside the Gaussian surface is zero
Q: 7. Draw the shape of orbital with proper sign of orbital wave function
Q: 8. If simple pendulum is taken, plot amplitude-time function for the following:
(A) When placed in air
(B) When placed in such that half part in air and other half part in vacuum separated by emergency wall
Q: 9. State Newton’s law of gravitation. Is it applicable inside the nucleus between two protons?
Sol. According to this law “Each particle attracts every other particle. The force of attraction between them is directly proportional to the product of their masses and inversely proportional to square of the distance between them”.
Where is the universal gravitational constant.
Q: 10. State sine equation of a string wave and explain all its terms
Displacement from mean position
Wave propagation const.
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